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122111144 = 2315263893
BaseRepresentation
bin1110100011101…
…00010010101000
322111202212222222
413101310102220
5222230024034
620041133212
73011633111
oct721642250
9274685888
10122111144
1162a23a01
1234a8a208
131c3b5b1c
1412309208
15aac112e
hex74744a8

122111144 has 8 divisors (see below), whose sum is σ = 228958410. Its totient is φ = 61055568.

The previous prime is 122111131. The next prime is 122111149. The reversal of 122111144 is 441111221.

It can be written as a sum of positive squares in only one way, i.e., 69722500 + 52388644 = 8350^2 + 7238^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a super-2 number, since 2×1221111442 = 29822262977977472, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (122111149) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 7631939 + ... + 7631954.

Almost surely, 2122111144 is an apocalyptic number.

It is an amenable number.

122111144 is a deficient number, since it is larger than the sum of its proper divisors (106847266).

122111144 is a wasteful number, since it uses less digits than its factorization.

122111144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15263899 (or 15263895 counting only the distinct ones).

The product of its digits is 64, while the sum is 17.

The square root of 122111144 is about 11050.3911242996. The cubic root of 122111144 is about 496.1181321987.

Adding to 122111144 its reverse (441111221), we get a palindrome (563222365).

The spelling of 122111144 in words is "one hundred twenty-two million, one hundred eleven thousand, one hundred forty-four".

Divisors: 1 2 4 8 15263893 30527786 61055572 122111144